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Finding the Fourth Proportional to 22,518, 33,776.73 and 21,147.89

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Solution

The fourth proportional to 22,518, 33,776.73 and 21,147.89 is: 31,721.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,518 : 33,776.73 = 21,147.89 : x
  2. Step 2: Convert to fraction form
    22,518/33,776.73 = 21,147.89/x
  3. Step 3: Cross multiply
    22,518x = 33,776.73 × 21,147.89
  4. Step 4: Simplify right side
    22,518x = 714,306,401.72
  5. Step 5: Solve for x
    x = 714,306,401.72/22,518
  6. Step 6: Final answer
    x = 31,721.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.